Objectives: The basic object of study in calculus is a function. We will start with the
definition of a function and examine the representation in four modes: symbolic, numerical, graphical
and verbal. The domain and range of a function are also defined; exercises on finding the domain of a
function are provided.

Working through these materials, the student should be able

to understand the four representations of a function;

to recognize a function in each of these representations;

to use function notation;

to calculate the domain of a function; and

to determine whether a given number is in the range of a function.

Modules:

DEFINITION.
A function is a rule or correspondence which
associates to each number x in a set A a unique number f(x) in a set B.

The set A is called the domain of f and
the set of all f(x)'s is called the range of f.